Answer:
x = 4
Explanation:
Solve for x:
12 x - 15 = 3 (2 x + 3)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
12 x - 15 = 6 x + 9
Hint: | Move terms with x to the left hand side.
Subtract 6 x from both sides:
(12 x - 6 x) - 15 = (6 x - 6 x) + 9
Hint: | Combine like terms in 12 x - 6 x.
12 x - 6 x = 6 x:
6 x - 15 = (6 x - 6 x) + 9
Hint: | Look for the difference of two identical terms.
6 x - 6 x = 0:
6 x - 15 = 9
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
6 x + (15 - 15) = 15 + 9
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
6 x = 9 + 15
Hint: | Evaluate 9 + 15.
9 + 15 = 24:
6 x = 24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 24 by 6:
(6 x)/6 = 24/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 24/6
Hint: | Reduce 24/6 to lowest terms. Start by finding the GCD of 24 and 6.
The gcd of 24 and 6 is 6, so 24/6 = (6×4)/(6×1) = 6/6×4 = 4:
Answer: x = 4